{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Log and Box-Cox transform"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Feature Engineering for Time Series Forecasting](https://www.trainindata.com/p/feature-engineering-for-forecasting)\n",
    "\n",
    "In this notebook we show how to apply the Log transform and Box-Cox transform to stabilise the \n",
    "variance of a time series manually, using the MLE method, and using the Guerrero method."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Data set synopsis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The air passengers dataset is the monthly totals of international airline passengers, from 1949 to 1960, in units of 1000s. \n",
    "\n",
    "For instructions on how to download, prepare, and store the dataset, refer to notebook number 5, in the folder \"01-Create-Datasets\" from this repo."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set_context(\"talk\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.read_csv(\n",
    "    \"../Datasets/example_air_passengers.csv\",\n",
    "    parse_dates=[\"ds\"],\n",
    "    index_col=[\"ds\"],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1949-01-01</th>\n",
       "      <td>112</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-02-01</th>\n",
       "      <td>118</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-03-01</th>\n",
       "      <td>132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-04-01</th>\n",
       "      <td>129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-05-01</th>\n",
       "      <td>121</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              y\n",
       "ds             \n",
       "1949-01-01  112\n",
       "1949-02-01  118\n",
       "1949-03-01  132\n",
       "1949-04-01  129\n",
       "1949-05-01  121"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "data.plot(y=\"y\", marker=\".\", figsize=[10, 5], legend=None, ax=ax)\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Air passengers (1000s)\")\n",
    "ax.set_title(\"Air passenger numbers\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see, the variance increases with the trend of the time series. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Apply Box-Cox transform using scipy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Box-Cox transform is defined as:\n",
    "\n",
    "$${\\displaystyle y_{i}^{(\\lambda )}={\\begin{cases}{\\dfrac {y_{i}^{\\lambda }-1}{\\lambda }}&{\\text{if }}\\lambda \\neq 0,\\\\\\ln y_{i}&{\\text{if }}\\lambda =0,\\end{cases}}}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's apply the Box-Cox transform to the air passengers data and see what the results look like."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import boxcox\n",
    "from scipy.special import inv_boxcox"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = data.copy()  # Make a copy of data so we can re-use data later\n",
    "df[\"y_boxcox\"] = boxcox(df[\"y\"], lmbda=0)  # Equivalent to a log transform"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>y_boxcox</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1949-01-01</th>\n",
       "      <td>112</td>\n",
       "      <td>4.718499</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-02-01</th>\n",
       "      <td>118</td>\n",
       "      <td>4.770685</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-03-01</th>\n",
       "      <td>132</td>\n",
       "      <td>4.882802</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-04-01</th>\n",
       "      <td>129</td>\n",
       "      <td>4.859812</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-05-01</th>\n",
       "      <td>121</td>\n",
       "      <td>4.795791</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              y  y_boxcox\n",
       "ds                       \n",
       "1949-01-01  112  4.718499\n",
       "1949-02-01  118  4.770685\n",
       "1949-03-01  132  4.882802\n",
       "1949-04-01  129  4.859812\n",
       "1949-05-01  121  4.795791"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the Box-Cox transformed time series\n",
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "df.plot(y=\"y_boxcox\", marker=\".\", figsize=[10, 5], label=\"$\\lambda=0$\", ax=ax)\n",
    "ax.legend()\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Box-Cox air passengers\")\n",
    "ax.set_title(\"Box-Cox transform of air passenger numbers\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can let scipy automatically find a good value for `lmbda` by setting the `lmbda`\n",
    "argument in boxcox to `None`. This happens by default by omitting the `lmbda` argument. Scipy uses the maximum likelihood method to automatically select a good value for `lmbda`. In practice,\n",
    "the Guerrero method (shown later in this notebook) may be a better option as it\n",
    "does not make assumptions about the underlying distribution and tries to specifically\n",
    "stabilise the variance across the time series."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lambda was automatically set to 0.148\n"
     ]
    },
    {
     "data": {
      "text/html": [
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>y_boxcox</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1949-01-01</th>\n",
       "      <td>112</td>\n",
       "      <td>6.827490</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-02-01</th>\n",
       "      <td>118</td>\n",
       "      <td>6.932822</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-03-01</th>\n",
       "      <td>132</td>\n",
       "      <td>7.161892</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-04-01</th>\n",
       "      <td>129</td>\n",
       "      <td>7.114611</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-05-01</th>\n",
       "      <td>121</td>\n",
       "      <td>6.983787</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              y  y_boxcox\n",
       "ds                       \n",
       "1949-01-01  112  6.827490\n",
       "1949-02-01  118  6.932822\n",
       "1949-03-01  132  7.161892\n",
       "1949-04-01  129  7.114611\n",
       "1949-05-01  121  6.983787"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"y_boxcox\"], lmbda = boxcox(df[\"y\"], lmbda=None)\n",
    "print(f\"Lambda was automatically set to {lmbda:.3f}\")\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "df.plot(\n",
    "    y=\"y_boxcox\", marker=\".\", figsize=[10, 5], label=f\"$\\lambda={lmbda:.3f}$\", ax=ax\n",
    ")\n",
    "ax.legend()\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Box-Cox air passengers\")\n",
    "ax.set_title(\"Box-Cox transform of air passenger numbers\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's compute the Box Cox transform for multiple different parameters of lambda."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "lmbdas = [\n",
    "    -1,  # Inverse transform y^(-1)\n",
    "    -0.5,  # inverse square root transform y^(-1/2)\n",
    "    0,  # Log transform ln(y)\n",
    "    0.5,  # Square root transform sqrt(y)\n",
    "    1,  # y - 1\n",
    "    2,  # Square transform y^2\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(ncols=2, nrows=3, figsize=[15, 15], sharex=True)\n",
    "ax = ax.flatten()\n",
    "for ix, lmbda in enumerate(lmbdas):\n",
    "    df[f\"y_{lmbda}\"] = boxcox(df[\"y\"], lmbda=lmbda)  # Compute Box-Cox transform\n",
    "    df.plot(y=f\"y_{lmbda}\", marker=\".\", label=f\"$\\lambda={lmbda}$\", ax=ax[ix])\n",
    "    ax[ix].legend()\n",
    "    ax[ix].set_xlabel(\"\")\n",
    "    fig.suptitle(\"Box-Cox transform of air passenger numbers\")\n",
    "    fig.text(0.5, 0, \"Time\", ha=\"center\", fontsize=25)\n",
    "    fig.text(\n",
    "        -0.02,\n",
    "        0.5,\n",
    "        \"Box-Cox transform of air passengers\",\n",
    "        va=\"center\",\n",
    "        rotation=\"vertical\",\n",
    "        fontsize=25,\n",
    "    )\n",
    "\n",
    "    plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that a $\\lambda$  between 0 and -0.5 visually appears to give a result\n",
    "where the variance is more stable over time."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We might want to perform the inverse transform to recover the original data. This\n",
    "can be done by using the `inv_boxcox` method from Scipy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>y_boxcox</th>\n",
       "      <th>y_-1</th>\n",
       "      <th>y_-0.5</th>\n",
       "      <th>y_0</th>\n",
       "      <th>y_0.5</th>\n",
       "      <th>y_1</th>\n",
       "      <th>y_2</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1949-01-01</th>\n",
       "      <td>112</td>\n",
       "      <td>6.827490</td>\n",
       "      <td>0.991071</td>\n",
       "      <td>1.811018</td>\n",
       "      <td>4.718499</td>\n",
       "      <td>19.166010</td>\n",
       "      <td>111.0</td>\n",
       "      <td>6271.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-02-01</th>\n",
       "      <td>118</td>\n",
       "      <td>6.932822</td>\n",
       "      <td>0.991525</td>\n",
       "      <td>1.815885</td>\n",
       "      <td>4.770685</td>\n",
       "      <td>19.725561</td>\n",
       "      <td>117.0</td>\n",
       "      <td>6961.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-03-01</th>\n",
       "      <td>132</td>\n",
       "      <td>7.161892</td>\n",
       "      <td>0.992424</td>\n",
       "      <td>1.825922</td>\n",
       "      <td>4.882802</td>\n",
       "      <td>20.978251</td>\n",
       "      <td>131.0</td>\n",
       "      <td>8711.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-04-01</th>\n",
       "      <td>129</td>\n",
       "      <td>7.114611</td>\n",
       "      <td>0.992248</td>\n",
       "      <td>1.823910</td>\n",
       "      <td>4.859812</td>\n",
       "      <td>20.715633</td>\n",
       "      <td>128.0</td>\n",
       "      <td>8320.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-05-01</th>\n",
       "      <td>121</td>\n",
       "      <td>6.983787</td>\n",
       "      <td>0.991736</td>\n",
       "      <td>1.818182</td>\n",
       "      <td>4.795791</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>120.0</td>\n",
       "      <td>7320.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              y  y_boxcox      y_-1    y_-0.5       y_0      y_0.5    y_1  \\\n",
       "ds                                                                          \n",
       "1949-01-01  112  6.827490  0.991071  1.811018  4.718499  19.166010  111.0   \n",
       "1949-02-01  118  6.932822  0.991525  1.815885  4.770685  19.725561  117.0   \n",
       "1949-03-01  132  7.161892  0.992424  1.825922  4.882802  20.978251  131.0   \n",
       "1949-04-01  129  7.114611  0.992248  1.823910  4.859812  20.715633  128.0   \n",
       "1949-05-01  121  6.983787  0.991736  1.818182  4.795791  20.000000  120.0   \n",
       "\n",
       "               y_2  \n",
       "ds                  \n",
       "1949-01-01  6271.5  \n",
       "1949-02-01  6961.5  \n",
       "1949-03-01  8711.5  \n",
       "1949-04-01  8320.0  \n",
       "1949-05-01  7320.0  "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# The second parameter is the value of\n",
    "# lambda used in the Box-Cox transform\n",
    "df[\"y_recovered\"] = inv_boxcox(df[\"y_-1\"], -1) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>y_recovered</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1949-01-01</th>\n",
       "      <td>112</td>\n",
       "      <td>112.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-02-01</th>\n",
       "      <td>118</td>\n",
       "      <td>118.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-03-01</th>\n",
       "      <td>132</td>\n",
       "      <td>132.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-04-01</th>\n",
       "      <td>129</td>\n",
       "      <td>129.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-05-01</th>\n",
       "      <td>121</td>\n",
       "      <td>121.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              y  y_recovered\n",
       "ds                          \n",
       "1949-01-01  112        112.0\n",
       "1949-02-01  118        118.0\n",
       "1949-03-01  132        132.0\n",
       "1949-04-01  129        129.0\n",
       "1949-05-01  121        121.0"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[[\"y\", \"y_recovered\"]].head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Log transform with sktime"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We show how to do a log transform using the LogTransformer from sktime. Using a transformer like this is helpful when we want to build feature engineering pipelines."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sktime.transformations.series.boxcox import LogTransformer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = data.copy()  # Make a copy of data so we can re-use data later"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Make transformer and perform log transform\n",
    "transformer = LogTransformer()\n",
    "df[\"y_log\"] = transformer.fit_transform(df[\"y\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "df.plot(\n",
    "    y=\"y_log\",\n",
    "    marker=\".\",\n",
    "    figsize=[10, 5],\n",
    "    ax=ax,\n",
    ")\n",
    "ax.legend()\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Log transform of air passengers\")\n",
    "ax.set_title(\"Log transform of air passengers\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "df[\"y_original\"] = transformer.inverse_transform(df[\"y_log\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>y_log</th>\n",
       "      <th>y_original</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1949-01-01</th>\n",
       "      <td>112</td>\n",
       "      <td>4.718499</td>\n",
       "      <td>112.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-02-01</th>\n",
       "      <td>118</td>\n",
       "      <td>4.770685</td>\n",
       "      <td>118.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-03-01</th>\n",
       "      <td>132</td>\n",
       "      <td>4.882802</td>\n",
       "      <td>132.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-04-01</th>\n",
       "      <td>129</td>\n",
       "      <td>4.859812</td>\n",
       "      <td>129.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-05-01</th>\n",
       "      <td>121</td>\n",
       "      <td>4.795791</td>\n",
       "      <td>121.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              y     y_log  y_original\n",
       "ds                                   \n",
       "1949-01-01  112  4.718499       112.0\n",
       "1949-02-01  118  4.770685       118.0\n",
       "1949-03-01  132  4.882802       132.0\n",
       "1949-04-01  129  4.859812       129.0\n",
       "1949-05-01  121  4.795791       121.0"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Box-Cox with sktime "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We show how to use the Box-Cox transformer from sktime which allows us\n",
    "to use the Guerrero method to select $\\lambda$. The Guerrero method does not make \n",
    "assumptions about the underlying distribution and tries to specifically stabilise \n",
    "the variance across the time series."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sktime.transformations.series.boxcox import BoxCoxTransformer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = data.copy()  # Make a copy of data so we can re-use data later"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.2947236481659704"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Make transformer and perform Box-Cox transform\n",
    "transformer = BoxCoxTransformer(\n",
    "    method=\"guerrero\",\n",
    "    sp=12 # sp should be set to the seasonal period\n",
    ")  \n",
    "\n",
    "df[\"y_guerrero\"] = transformer.fit_transform(df[\"y\"])\n",
    "transformer.lambda_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "df.plot(\n",
    "    y=\"y_guerrero\",\n",
    "    marker=\".\",\n",
    "    figsize=[10, 5],\n",
    "    label=f\"$\\lambda={transformer.lambda_:.2f}$\",\n",
    "    ax=ax,\n",
    ")\n",
    "ax.legend()\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Box-Cox air passengers\")\n",
    "ax.set_title(\"$\\lambda$ selected by Guerrero method\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can also use the MLE method."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.14802265137037945"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transformer = BoxCoxTransformer(method=\"mle\")\n",
    "y_hat = transformer.fit_transform(df[\"y\"])\n",
    "df[\"y_mle\"] = y_hat\n",
    "transformer.lambda_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=[10, 5])\n",
    "df.plot(\n",
    "    y=\"y_mle\",\n",
    "    marker=\".\",\n",
    "    figsize=[10, 5],\n",
    "    label=f\"$\\lambda={transformer.lambda_:.2f}$\",\n",
    "    ax=ax,\n",
    ")\n",
    "ax.legend()\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Box Cox air passengers\")\n",
    "ax.set_title(\"$\\lambda$ selected by MLE method\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can also access the Box Cox transform in sklearn using [PowerTransformer](https://scikit-learn.org/stable/modules/generated/sklearn.preprocessing.PowerTransformer.html)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Log and Box Cox with Feature-engine"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We might want to apply the Box Cox transform to multiple variables and as part \n",
    "of a pipeline. This can be easily done by using the Box Cox transformer from \n",
    "Feature-engine. Scipy is used under the hood and so the MLE method is used to pick $\\lambda$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "from feature_engine.transformation import BoxCoxTransformer, LogTransformer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = data.copy()\n",
    "# Add a new column to show Box Cox transformer handling two columns\n",
    "df[\"x\"] = df[\"y\"] * 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "      <th>x</th>\n",
       "      <th>y_boxcox</th>\n",
       "      <th>x_boxcox</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1949-01-01</th>\n",
       "      <td>112</td>\n",
       "      <td>224</td>\n",
       "      <td>6.827490</td>\n",
       "      <td>8.295150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-02-01</th>\n",
       "      <td>118</td>\n",
       "      <td>236</td>\n",
       "      <td>6.932822</td>\n",
       "      <td>8.411863</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-03-01</th>\n",
       "      <td>132</td>\n",
       "      <td>264</td>\n",
       "      <td>7.161892</td>\n",
       "      <td>8.665684</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-04-01</th>\n",
       "      <td>129</td>\n",
       "      <td>258</td>\n",
       "      <td>7.114611</td>\n",
       "      <td>8.613294</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-05-01</th>\n",
       "      <td>121</td>\n",
       "      <td>242</td>\n",
       "      <td>6.983787</td>\n",
       "      <td>8.468335</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              y    x  y_boxcox  x_boxcox\n",
       "ds                                      \n",
       "1949-01-01  112  224  6.827490  8.295150\n",
       "1949-02-01  118  236  6.932822  8.411863\n",
       "1949-03-01  132  264  7.161892  8.665684\n",
       "1949-04-01  129  258  7.114611  8.613294\n",
       "1949-05-01  121  242  6.983787  8.468335"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transformer = BoxCoxTransformer(variables=[\"y\", \"x\"])\n",
    "df[[\"y_boxcox\", \"x_boxcox\"]] = transformer.fit_transform(df)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can access the value of lambda that was automatically selected using the `lambda_dict_`\n",
    "attribute."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'y': 0.14802265137037945, 'x': 0.14802255370969325}"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transformer.lambda_dict_"
   ]
  }
 ],
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